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3 years ago

7

I need help with the bottom part I’m confused on how he got that answer? Ty!

1 answer:

baherus [9]3 years ago

6 0

Answer:

The reason Carlos chose A as the correct answer is because by the way 4,325,000,000 is set up in standard form he would have it set back to 4.325 x 10^-9 instead of 4.325 x 10^9

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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

Alla [95]

Answer:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % where by a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$

Now we have everything in order to replace into formula (1), for this case we got:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

6 0

3 years ago

In the game of roulette, a player can place a $4 bet on the number 29 and have a 1/38 probability of winning. If the metal bal

creativ13 [48]

Answer:

The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.

Step-by-step explanation:

Consider the provided information.

It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.

The probability of winning is 1/38. So, the probability of loss is 37/38.

Now, find the expected value of the game to the player as shown:

$E(x)=(140)\times \frac{1}{38}+(-4)\times \frac{37}{38}$

$E(x)=\frac{140-148}{38}$

$E(x)=\frac{-8}{38}=-$0.2105$

Hence, the expected value of the game to the player is -$0.2105.

Now find the expect to loss if played the game 1000 times.

1000×(-$0.2105)=-$210.5

Therefore, the expected loss if played the game 1000 times is -$210.5.

5 0

4 years ago

The lengths of the sides of a triangle are 7, 24 and 25. Classify the triangle as acute, right, or obtuse. Choose the correct ty

Gennadij [26K]

Answer:

Right angled triangle

Step-by-step explanation:

This is because the square root of the sum of the squares of 7 and 24 is 25 ( Pythagoras theorem) . This only works for right angled triangle.

7 0

3 years ago

The table shows the predicted growth of particular bacterium after various numbers of hours. Write an explicit formula for the s

Oksana_A [137]

Answer:

D

-29

Step-by-step explanation:

Problem 1

In the first hour, the number of bacteria is 22

In the second hour,the number of bacteria is 44

It looks like the formula is some multiple of 22

That means you should pick D

Problem 2

n = 12

a = 15

d = - 4

an= 15 + (n - 1)*d

a12 = 15 + 11*(-4)

a12 = 15 - 44

a12 = - 29

6 0

3 years ago

What's (1/2)^2 ????????????????????

zhannawk [14.2K]

This is One-half squared. That means you must multiply it by itself twice. This would result in 1/4 or one-fourth.

3 0

3 years ago

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